The increasing order of pKb values of the following compounds is :

A solution of two components containing n1 moles of the 1st component and n2 moles of the 2nd component is prepared. M1

The incorrect statement is :

Kraft temperature is the temperature :

For the reaction Fe2N(s) + $${3 \over 2}$$H2(g) ⇌ 2Fe(s) + NH3(g)

Arrange the following solutions in the decreasing order of pOH : (A) 0.01 M HCl (B) 0.01 M NaOH (C) 0.01 M CH3COONa (D)

The species that has a spin-only magnetic moment of 5.9 BM, is : (Td = tetrahedral)

The major product of the following reaction is :

The major products of the following reaction are :

The lanthanoid that does NOT show +4 oxidation state is :

Which of the following compounds shows geometrical isomerism?

The presence of soluble fluoride ion upto 1 ppm concentration in drinking water, is :

Among the sulphates of alkaline earth metals, the solubilities of BeSO4 and MgSO4 in water, respectively, are :

The major product obtained from the following reaction is :

The correct statement with respect to dinitrogen is :

Consider the following reactions A $$ \to $$ P1 ; B $$ \to $$ P2 ; C $$ \to $$ P3 ; D $$ \to $$ P4, The order of the abo

Consider the Assertion and Reason given below. Assertion (A) : Ethene polymerized in the presence of Ziegler Natta Catal

The variation of equilibrium constant with temperature is given below : .tg {border-collapse:collapse;border-spacing:0

Consider the following reactions 'A' is :

The set that contains atomic numbers of only transition elements, is :

In an estimation of bromine by Carius method, 1.6 g of an organic compound gave 1.88 g of AgBr. The mass percentage of b

The number of Cl = O bonds in perchloric acid is, "________".

Potassium chlorate is prepared by the electrolysis of KCl in basic solution 6OH- + Cl- $$ \to $$ ClO3- + 3H2O + 6e- If o

The elevation of boiling point of 0.10 m aqueous CrCl3.xNH3 solution is two times that of 0.05 m aqueous CaCl2 solution.

A spherical balloon of radius 3 cm containing helium gas has a pressure of 48 $$ \times $$ 10–3 bar. At the same tempera

The region represented by {z = x + iy $$ \in $$ C : |z| – Re(z) $$ \le $$ 1} is also given by the inequality : {z = x +

The general solution of the differential equation $$\sqrt {1 + {x^2} + {y^2} + {x^2}{y^2}} $$ + xy$${{dy} \over {dx}}$$

The negation of the Boolean expression p $$ \vee $$ (~p $$ \wedge $$ q) is equivalent to :

Let L1 be a tangent to the parabola y2 = 4(x + 1) and L2 be a tangent to the parabola y2 = 8(x + 2) such that L1 and

The area (in sq. units) of the region A = {(x, y) : |x| + |y| $$ \le $$ 1, 2y2 $$ \ge $$ |x|}

The shortest distance between the lines $${{x - 1} \over 0} = {{y + 1} \over { - 1}} = {z \over 1}$$ and x + y + z + 1 =

Let a , b, c , d and p be any non zero distinct real numbers such that (a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 +

Two families with three members each and one family with four members are to be seated in a row. In how many ways can th

Let m and M be respectively the minimum and maximum values of $$\left| {\matrix{ {{{\cos }^2}x} & {1 + {{\sin }^2

The values of $$\lambda $$ and $$\mu $$ for which the system of linear equations x + y + z = 2 x + 2y + 3z = 5 x + 3y +

A ray of light coming from the point (2, $$2\sqrt 3 $$) is incident at an angle 30o on the line x = 1 at the point A. Th

Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability

If f(x + y) = f(x)f(y) and $$\sum\limits_{x = 1}^\infty {f\left( x \right)} = 2$$ , x, y $$ \in $$ N, where N is the s

If {p} denotes the fractional part of the number p, then $$\left\{ {{{{3^{200}}} \over 8}} \right\}$$, is equal to :

Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent to the ellipse, $${{{

$$\mathop {\lim }\limits_{x \to 1} \left( {{{\int\limits_0^{{{\left( {x - 1} \right)}^2}} {t\cos \left( {{t^2}} \right)d

If $$\sum\limits_{i = 1}^n {\left( {{x_i} - a} \right)} = n$$ and $$\sum\limits_{i = 1}^n {{{\left( {{x_i} - a} \right)

If $$\alpha $$ and $$\beta $$ be two roots of the equation x2 – 64x + 256 = 0. Then the value of $${\left( {{{{\alpha ^3

The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are real numbers grea

If I1 = $$\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} dx$$ and I2 = $$\int\limits_0^1 {{{\left( {1 - {x^{5

If $$\overrightarrow a $$ and $$\overrightarrow b $$ are unit vectors, then the greatest value of $$\sqrt 3 \left| {\ove

The angle of elevation of the top of a hill from a point on the horizontal plane passing through the foot of the hill is

Let f : R $$ \to $$ R be defined as $$f\left( x \right) = \left\{ {\matrix{ {{x^5}\sin \left( {{1 \over x}} \right) +

Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If AD = 8 m, BC = 11 m and AB = 10 m

Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more than the total number of

An electron, a doubly ionized helium ion (He++) and a proton are having the same kinetic energy. The relation between th

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, pr

Four point masses, each of mass m, are fixed at the corners of a square of side $$l$$. The square is rotating with angul

For the given input voltage waveform Vin(t), the output voltage waveform V0(t), across the capacitor is correctly depict

A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is fa

If the potential energy between two molecules is given by U = $$ - {A \over {{r^6}}} + {B \over {{r^{12}}}}$$, then at e

You are given that Mass of $${}_3^7Li$$ = 7.0160u, Mass of $${}_2^4He$$ = 4.0026u and Mass of $${}_1^1H$$ = 1.0079u. Whe

Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M, radius of its top, R and height

An electron is moving along +x direction with a velocity of 6 $$ \times $$ 106 ms–1. It enters a region of uniform elec

Identify the correct output signal Y in the given combination of gates (as shown) for the given inputs A and B.

A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in uni

In the figure below, P and Q are two equally intense coherent sources emitting radiation of wavelength 20 m. The separat

An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it i

A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A plane mirror is pl

An object of mass m is suspended at the end of a massless wire of length L and area of crosssection A. Young modulus of

Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom

An AC circuit has R= 100 $$\Omega $$, C = 2 $$\mu $$F and L = 80 mH, connected in series. The quality factor of the circ

Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a complete

A particle of charge q and mass m is moving with a velocity $$ - v\widehat i$$ (v $$ \ne $$ 0) towards a large screen pl

Charges Q1 and Q2 are at points A and B of a right angle triangle OAB (see figure). The resultant electric field at po

Suppose that intensity of a laser is $${{315} \over \pi }$$ W/m2. The rms electric field, in units of V/m associated wit

A sound source S is moving along a straight track with speed v, and is emitting, sound of frequency v0 (see figure). An

The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the densi

Initially a gas of diatomic molecules is contained in a cylinder of volume V1 at a pressure P1 and temperature 250 K.

A part of a complete circuit is shown in the figure. At some instant, the value of current I is 1A and it is decreasing